$12$ future NASDAQ Index futures are purchase. The following information is given:

Initial Margin Account Percentage $=50\%$

Maintenance Margin Account Percentage $=35\%$

Annual effective risk free rate $=4\%($note this is not a continuous rate$)$

The margin account is updated at the end of each week.

$-.$ The weekly future prices are:

$\backslash$table$[[$Week$,$Futures Price$],[0,130],[1,125],[2,113],[3,102],[4,105],[5,100],[6,102]]$

a$.$ Compute the margin account at the end of each week

b$.$ Compute the futures profit for the $12$ contracts at the end of $6$ weeks

c$.$ Compute the profit if this had been a forward as opposed to a future.

This project should be completed in EXCEL with output in numerical and formula form.